K13n1125
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1125/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+2 t^3+4 t^2-15 t+21-15 t^{-1} +4 t^{-2} +2 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1125/Conway Polynomial |
| Determinant | 53 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -7 z^6 a^{-6} +6 z^4 a^{-4} -15 z^4 a^{-6} +3 z^4 a^{-8} +2 z^4 a^{-10} +10 z^2 a^{-4} -15 z^2 a^{-6} +6 z^2 a^{-8} +3 z^2 a^{-10} -z^2 a^{-12} +5 a^{-4} -7 a^{-6} +3 a^{-8} + a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +z^{10} a^{-8} +4 z^{10} a^{-10} +3 z^{10} a^{-12} +z^9 a^{-5} -5 z^9 a^{-9} +4 z^9 a^{-13} +z^8 a^{-4} +2 z^8 a^{-6} -7 z^8 a^{-8} -21 z^8 a^{-10} -10 z^8 a^{-12} +3 z^8 a^{-14} -6 z^7 a^{-5} -2 z^7 a^{-7} +7 z^7 a^{-9} -13 z^7 a^{-11} -15 z^7 a^{-13} +z^7 a^{-15} -7 z^6 a^{-4} -17 z^6 a^{-6} +10 z^6 a^{-8} +37 z^6 a^{-10} +5 z^6 a^{-12} -12 z^6 a^{-14} +8 z^5 a^{-5} -z^5 a^{-7} -8 z^5 a^{-9} +17 z^5 a^{-11} +12 z^5 a^{-13} -4 z^5 a^{-15} +16 z^4 a^{-4} +36 z^4 a^{-6} +2 z^4 a^{-8} -32 z^4 a^{-10} -2 z^4 a^{-12} +12 z^4 a^{-14} +12 z^3 a^{-7} +13 z^3 a^{-9} -6 z^3 a^{-11} -3 z^3 a^{-13} +4 z^3 a^{-15} -15 z^2 a^{-4} -27 z^2 a^{-6} -6 z^2 a^{-8} +13 z^2 a^{-10} +3 z^2 a^{-12} -4 z^2 a^{-14} -3 z a^{-5} -7 z a^{-7} -6 z a^{-9} -z a^{-11} -z a^{-15} +5 a^{-4} +7 a^{-6} +3 a^{-8} - a^{-10} - a^{-12} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
